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Finding the Fourth Proportional to 9,650.83, 14,469.28 and 6,523.09

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Solution

The fourth proportional to 9,650.83, 14,469.28 and 6,523.09 is: 9,779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.83 : 14,469.28 = 6,523.09 : x
  2. Step 2: Convert to fraction form
    9,650.83/14,469.28 = 6,523.09/x
  3. Step 3: Cross multiply
    9,650.83x = 14,469.28 × 6,523.09
  4. Step 4: Simplify right side
    9,650.83x = 94,384,415.68
  5. Step 5: Solve for x
    x = 94,384,415.68/9,650.83
  6. Step 6: Final answer
    x = 9,779.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.